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Volumn 86, Issue 1-2, 2005, Pages 203-220

The Hilbert series of measures of entanglement for 4 qubits

Author keywords

Cohen Macaulay; Entanglement; Gorenstein; Qubits; System of parameters

Indexed keywords

FUNCTIONS; MATHEMATICAL TRANSFORMATIONS; POLYNOMIALS; PROBABILITY; SET THEORY; VECTORS;

EID: 17444386726     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10440-005-0471-3     Document Type: Conference Paper
Times cited : (22)

References (14)
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    • Derkesen, H.1
  • 4
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    • Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay
    • Hochster, M. and Roberts, J.: Rings of invariants of reductive groups acting on regular rings are Cohen-Macaulay, Adv. Math. 13 (1974), 115-175.
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    • Hochster, M.1    Roberts, J.2
  • 5
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    • Knop, F.: Der kanonische Modul eines Invariantenringes, J. Algebra 127 (1989), 40-54.
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    • Knop, F.1
  • 6
    • 0001202482 scopus 로고
    • Orbits and Lie group representations associated with symmetric spaces
    • Kostant, B. and Rallis, S.: Orbits and Lie group representations associated with symmetric spaces, Amer. J. Math. 93 (1971), 753-809.
    • (1971) Amer. J. Math. , vol.93 , pp. 753-809
    • Kostant, B.1    Rallis, S.2
  • 8
    • 0003532180 scopus 로고
    • Cambridge Studies in Advanced Mathematics 8, Cambridge University Press, Cambridge
    • Matsumura, H.: Commutative Ring Theory, Cambridge Studies in Advanced Mathematics 8, Cambridge University Press, Cambridge, 1986.
    • (1986) Commutative Ring Theory
    • Matsumura, H.1
  • 9
    • 84951991507 scopus 로고    scopus 로고
    • Invariants for multiple qubits: The case of 3 qubits
    • Computational Mathematics Series, Chapman&Hall/CRC
    • Meyer, D. and Wallach, N.: Invariants for multiple qubits: The case of 3 qubits, In: Mathematics of Quantum Computing, Computational Mathematics Series, Chapman&Hall/CRC, 2002, pp. 77-98.
    • (2002) Mathematics of Quantum Computing , pp. 77-98
    • Meyer, D.1    Wallach, N.2
  • 10
    • 0035981717 scopus 로고    scopus 로고
    • Global entanglement in multiparticle systems. Quantum information theory
    • Meyer, D. and Wallach, N.: Global entanglement in multiparticle systems. Quantum information theory, J. Math. Phys. 43(9) (2002), 4273-4278.
    • (2002) J. Math. Phys. , vol.43 , Issue.9 , pp. 4273-4278
    • Meyer, D.1    Wallach, N.2
  • 11
    • 0040267747 scopus 로고
    • A note on factorial rings
    • Pavaman Murty, M.: A note on factorial rings, Arch. Math. 15 (1964), 418-420.
    • (1964) Arch. Math. , vol.15 , pp. 418-420
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  • 12
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    • Constructive invariant theory
    • Popov, V.: Constructive invariant theory, Astérisque 87-88 (1981), 303-334.
    • (1981) Astérisque , vol.87-88 , pp. 303-334
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  • 13
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    • Constructive theory of invariants
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    • (1982) Math. USSR Izv. , vol.10 , pp. 359-376
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  • 14
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    • Invariant Levi factors
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    • Taft, E.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.